A Bayesian Model with a Bivariate Normal-lognormal Prior Distribution and a Nonlinear Mixed-effect Model for a Regional Fish Stock-recruitment Meta-analysis
نویسنده
چکیده
Fish stock and recruitment analysis is one of the most essential and fundamental components for fisheries management and quantitative fish dynamics modelling. A variety of mathematical models have been developed to describe the relationship between the number of spawning fish (“stock”) and the number of their progeny at some subsequent live stage (“recruitment”). These stock-recruitment models (SR) are widely used to model the dynamics of exploited fish populations. A comprehensive discussion and mathematical formulations of SR models can be found in Hilborn and Walters (1992) and Quinn and Deriso (1999). The Ricker (1975) model is the most commonly used SR model, because of its sensible biological rationale and its simple mathematical formulation. The mathematical formulation of the Ricker SR model with a lognormal error term is as follows:
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